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On singular values of Hankel operators of finite rank

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On singular values of Hankel operators of finite rank


Published November 1988
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Title from cover

"NPS-53-89-003."

"November 1988."

AD A53-89-003

Includes bibliographical references (p. 16)

Let H be a Hankel operator defined by its symbol rho = pi X Chi where is a monic polynomial of degree n and pi is a polynomial of degree less than n. Then H has rank n. We derive a generalized Takagi singular value problem defined by two n x n matrices, such that its n generalized Takagi singular values are the positive singular values of H. If rho is real, then the generalized Takagi singular value problem reduces to a generalized symmetric eigenvalue problem. The computations can be carried out so that the Lanczos method applied to the latter problem requires only 0(n log n) arithmetic operations for each iteration. If pi and chi are given in power form, then the elements of all n x n matrices required can be determined in 0(sq.n) arithmetic operations

aq/aq cc:9116 04/23/99


Publisher Monterey, California : Naval Postgraduate School
Pages 28
Language en_US
Call number a221946
Digitizing sponsor Naval Postgraduate School, Dudley Knox Library
Book contributor Naval Postgraduate School, Dudley Knox Library
Collection navalpostgraduateschoollibrary; fedlink; americana
Notes some content may be lost due to the binding of the book.

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